72958387320 has 576 divisors, whose sum is σ = 301295816640. Its totient is φ = 15173222400.

The previous prime is 72958387279. The next prime is 72958387321. The reversal of 72958387320 is 2378385927.

72958387320 is a `hidden beast` number, since 7 + 29 + 583 + 8 + 7 + 32 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72958387321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 16279480 + ... + 16283960.

It is an arithmetic number, because the mean of its divisors is an integer number (523083015).

Almost surely, 2^72958387320 is an apocalyptic number.

72958387320 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72958387320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150647908320).

72958387320 is an abundant number, since it is smaller than the sum of its proper divisors (228337429320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72958387320 is a wasteful number, since it uses less digits than its factorization.

72958387320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4596 (or 4582 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 72958387320 in words is "seventy-two billion, nine hundred fifty-eight million, three hundred eighty-seven thousand, three hundred twenty".